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230501053432 = 2313171578231009
BaseRepresentation
bin1101011010101011101…
…1101111001111111000
3211000222000101201222001
43112222323233033320
512234031232202212
6253520221310344
722440013425016
oct3265273571770
9730860351861
10230501053432
1189833921081
123880a4053b4
13189754479a0
14b228cb78b6
155ee1073657
hex35aaeef3f8

230501053432 has 128 divisors (see below), whose sum is σ = 497047017600. Its totient is φ = 99270033408.

The previous prime is 230501053411. The next prime is 230501053463. The reversal of 230501053432 is 234350105032.

It is a self number, because there is not a number n which added to its sum of digits gives 230501053432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228444544 + ... + 228445552.

It is an arithmetic number, because the mean of its divisors is an integer number (3883179825).

Almost surely, 2230501053432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230501053432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248523508800).

230501053432 is an abundant number, since it is smaller than the sum of its proper divisors (266545964168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230501053432 is a wasteful number, since it uses less digits than its factorization.

230501053432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 230501053432 its reverse (234350105032), we get a palindrome (464851158464).

The spelling of 230501053432 in words is "two hundred thirty billion, five hundred one million, fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 157 221 314 442 628 823 884 1009 1256 1646 1768 2018 2041 2669 3292 4036 4082 5338 6584 8072 8164 10676 10699 13117 13991 16328 17153 21352 21398 26234 27982 34306 34697 42796 52468 55964 68612 69394 85592 104936 111928 129211 137224 138788 158413 181883 222989 258422 277576 316826 363766 445978 516844 633652 727532 830407 891956 1033688 1267304 1455064 1660814 1679743 1783912 2059369 2196587 2693021 3321628 3359486 4118738 4393174 5386042 6643256 6718972 8237476 8786348 10772084 10795291 13437944 14116919 16474952 17572696 21544168 21590582 28233838 28555631 35009273 43181164 56467676 57111262 70018546 86362328 112935352 114222524 130373899 140037092 183519947 228445048 260747798 280074184 367039894 521495596 734079788 1042991192 1468159576 1694860687 2216356283 3389721374 4432712566 6779442748 8865425132 13558885496 17730850264 28812631679 57625263358 115250526716 230501053432